What is the Least Common Multiple of 83457 and 83469?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 83457 and 83469 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83457 and 83469, than apply into the LCM equation.

GCF(83457,83469) = 3
LCM(83457,83469) = ( 83457 × 83469) / 3
LCM(83457,83469) = 6966072333 / 3
LCM(83457,83469) = 2322024111

Least Common Multiple (LCM) of 83457 and 83469 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83457 and 83469. First we will calculate the prime factors of 83457 and 83469.

Prime Factorization of 83457

Prime Factorization of 83469

Now multiplying the highest exponent prime factors to calculate the LCM of 83457 and 83469.

LCM(83457,83469) = 3³ × 11¹ × 281¹ × 27823¹
LCM(83457,83469) = 2322024111